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Finding the Fourth Proportional to 29,057.19, 43,589.16 and 12,419.16

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Solution

The fourth proportional to 29,057.19, 43,589.16 and 12,419.16 is: 18,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057.19 : 43,589.16 = 12,419.16 : x
  2. Step 2: Convert to fraction form
    29,057.19/43,589.16 = 12,419.16/x
  3. Step 3: Cross multiply
    29,057.19x = 43,589.16 × 12,419.16
  4. Step 4: Simplify right side
    29,057.19x = 541,340,752.31
  5. Step 5: Solve for x
    x = 541,340,752.31/29,057.19
  6. Step 6: Final answer
    x = 18,630.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.